Mathematics and Statistics Vol. 11(3), pp. 548 - 557
DOI: 10.13189/ms.2023.110311
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A Time Truncated New Group Chain Sampling Plan Based on Log-Logistic Distribution

Nazrina Aziz ^1,2,*, Seu Wen Fei ¹, Waqar Hafeez ¹, Shazlyn Milleana Shaharudin ³, Javid Shabbir ^4
1 Department of Mathematics & Statistics, School of Quantitative Sciences, Universiti Utara Malaysia, 06010 UUM Sintok, Kedah, Malaysia
² Institute of Strategic Industrial Decision Modelling (ISIDM), Universiti Utara Malaysia, 06010 UUM Sintok, Kedah, Malaysia
³ Department of Mathematics, Faculty of Sciences and Mathematics, Universiti Pendidikan Sultan Idris, 35900, Malaysia
⁴ Department of Statistics, University of Wah, 47040 Wah Cantt, Pakistan

ABSTRACT

The acceptance sampling is a technique for ensuring that both producers and consumers are satisfied with the product's quality. This paper proposes a new group chain sampling plan (NGChSP) using Log-logistic distribution when the life test is truncated at a predetermined time. The minimum number of groups, and the probability of lot acceptance, are determined through satisfying the consumer's risk, under the specified design parameter. This paper shows that the minimum number of groups, decreases when the value of design parameters such as and increases. With the same design parameters, the minimum increases when the shape parameter increases. Moreover, the increases as shape parameter and minimum increases. An illustrative example for NGChSP is provided. The findings suggest that as the test time termination constant decreases, the minimum increases. Furthermore, as the mean ratio, increases, the increases as well. In comparison to GChSP, the NGChSP requires a smaller number of groups, indicating that using the NGChSP for inspection will contribute to lower inspection time and costs. The NGChSP provides a higher probability of lot acceptance than GChSP. This paper concludes that the NGChSP performed better than the GChSP. Therefore, the NGChSP is better equipped for lot inspection in the manufacturing industry.

KEYWORDS
Truncated Life Test, Log-Logistic Distribution, New Group Chain Sampling Plan, Probability of Lot Acceptance

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Nazrina Aziz , Seu Wen Fei , Waqar Hafeez , Shazlyn Milleana Shaharudin , Javid Shabbir , "A Time Truncated New Group Chain Sampling Plan Based on Log-Logistic Distribution," Mathematics and Statistics, Vol. 11, No. 3, pp. 548 - 557, 2023. DOI: 10.13189/ms.2023.110311.

(b). APA Format:
Nazrina Aziz , Seu Wen Fei , Waqar Hafeez , Shazlyn Milleana Shaharudin , Javid Shabbir (2023). A Time Truncated New Group Chain Sampling Plan Based on Log-Logistic Distribution. Mathematics and Statistics, 11(3), 548 - 557. DOI: 10.13189/ms.2023.110311.